How do you find the 12th term of a geometric sequence?

⇒ common ratio =r=3 and the given sequence is geometric sequence. Where an is the nth term, a is the first term and n is the number of terms. ⇒ 12th term is 708588 . ⇒Sum=1062880 .

What is the 6th term of the geometric sequence?

Therefore, the 6th term of the geometric sequence is 0.2.

How do you find the nth term in a geometric sequence?

6. How do you find the nth term of a geometric progression with two terms? First, calculate the common ratio r by dividing the second term by the first term. Then use the first term a and the common ratio r to calculate the nth term by using the formula an=arn−1 a n = a r n − 1 .

How do you find the first term of a geometric sequence with two terms?

We’ll find the first term in the sequence and write the general rule for the sequence. We will start by using the term we know, the common ratio and the general rule, \begin{align*}a_n=a_1 r^{n-1}\end{align*}. By plugging in the values we know, we can then solve for the first term, \begin{align*}a_1\end{align*}.

How do you find the sum of the first 10 terms of a geometric sequence?

The formula to find the sum of the first n terms of a geometric sequence is a times 1 minus r to the nth power over 1 minus r where n is the number of terms we want to find the sum for, a our beginning term of our sequence, and r our common ratio.

What kind of sequence is 1 1 1?

arithmetic sequence
Yes, 1,1,1,1 1 , 1 , 1 , 1 is an arithmetic sequence.

How do you find terms in a geometric sequence?

The terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly.

How do you find the seventeenth term of a geometric sequence?

Example 2. If the first and tenth terms of a geometric sequence are 1 and 4, find the seventeenth term to three decimal places. First let n =10, a1 =1, a10 =4 and use the formula an = a1 ⋅ r(n-1) to find r.

What are the most important values of a finite geometric sequence?

With our geometric sequence calculator, you can calculate the most important values of a finite geometric sequence. These values include the common ratio, the initial term, the last term and the number of terms. Here’s a brief description of them: Initial term: First term of the sequence,

How do you find the first 4 terms of a sequence?

Given the first term and the common factor, find the first four terms of a geometric sequence. a 2. a 2. a 4, until all four terms have been identified. Write the terms separated by commons within brackets. r = –2. r = –2.

How to find the common ratio of a geometric sequence?

A geometric sequence is one in which any term divided by the previous term is a constant. This constant is called the common ratio of the sequence. The common ratio can be found by dividing any term in the sequence by the previous term. If { a 1, a 1 r, a 1 r 2, a 1 r 3,